Question
Find the prime factorization of number 21250.
Answer
The prime factorization of 21250 is:
$$ 21250 = 2\cdot5\cdot5\cdot5\cdot5\cdot17 $$Which is the same as :
$$ 21250 = 2\cdot5^{4}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 21250 can be written as 10 × 2125. |
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| 10 can be written as 2 × 5. |
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| 2125 can be written as 5 × 425. |
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| 425 can be written as 5 × 85. |
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| 85 can be written as 5 × 17. |
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| The end nodes are the prime factors of the number 21250. |
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